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Solve for x
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Re: Solve for x
by Eigenvalue » Fri Sep 25, 2026 9:42 pm
[tex]\sqrt{ 2^{x }+ 2^{x } }[/tex]=1
Square both sides
[tex]2^{x}[/tex]+[tex]2^{x }[/tex]=1
2([tex]x^{2 }[/tex]
Combine like terms:
[tex]2^{x+1}[/tex]=1
Since [tex]2^{0}[/tex]=1, x+1=0
x+1=0
x=-1
Alternative method:
Divide both sides by 2
[tex]2^{x }[/tex]=[tex]\frac{1}{2}[/tex]
x=-1
Square both sides
[tex]2^{x}[/tex]+[tex]2^{x }[/tex]=1
2([tex]x^{2 }[/tex]
Combine like terms:
[tex]2^{x+1}[/tex]=1
Since [tex]2^{0}[/tex]=1, x+1=0
x+1=0
x=-1
Alternative method:
Divide both sides by 2
[tex]2^{x }[/tex]=[tex]\frac{1}{2}[/tex]
x=-1
- Eigenvalue
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Re: Solve for x
by nycmath » Sat Sep 26, 2026 11:00 am
Eigenvalue wrote:[tex]\sqrt{ 2^{x }+ 2^{x } }[/tex]=1
Square both sides
[tex]2^{x}[/tex]+[tex]2^{x }[/tex]=1
2([tex]x^{2 }[/tex]
Combine like terms:
[tex]2^{x+1}[/tex]=1
Since [tex]2^{0}[/tex]=1, x+1=0
x+1=0
x=-1
Alternative method:
Divide both sides by 2
[tex]2^{x }[/tex]=[tex]\frac{1}{2}[/tex]
x=-1
Bullseye!
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